Simplify 30/108 to Lowest Terms
30/108 simplified to its lowest terms is 5/18 (or 0.277778 in decimal). See how to reduce 30/108 using Greatest Common Divisor (GCD = 6).
Exact Answer
30/108 = 5/18
Simplified Fraction
5/18
Mixed Number
Proper (5/18)
Decimal Value
0.277778
Percentage
27.7778%
Step-by-Step Solution: 30/108 = 5/18
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 108:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 108:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD(30, 108) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (30) and denominator (108) by 6.
30 ÷ 6/108 ÷ 6 = 5/18
Visual Representation
The diagram below illustrates Simplify 30/108 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/18 |
| Mixed Number Form | 5/18 |
| Decimal Form | 0.277778 |
| Percentage | 27.7778% |
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Frequently Asked Questions
What is 30/108 in simplest form?
30/108 simplified to lowest terms is 5/18.
What is the GCD (GCF) of 30 and 108?
The Greatest Common Divisor (GCD) of 30 and 108 is 6.
What are equivalent fractions to 30/108?
Equivalent fractions to 30/108 include 10/36, 15/54, and 20/72.